A numerical simulation and explicit solutions of the generalized Burgers--Fisher equation
type: Item
instance of: scholarly article
title: A numerical simulation and explicit solutions of the generalized Burgers--Fisher equation
zbMATH Open document ID: 1052.65098
DOI: 10.1016/S0096-3003(03)00565-4
author: Doğan Kaya
author: Salah M. El-Sayed
published in: Applied Mathematics and Computation
publication date: 2004-08-06T00:00:00Z
review text: The authors present a method for the solution of a Burgers equation with a Fisher source term by computing terms of a series. The method requires that the solution possess a very high degree of regularity, namely, the condition that \(\| \partial_x^2 u \| \leq M \| u \| \). The method is very effective in special cases, such as that presented here.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 2081880
zbMATH Keywords: Burgers-Fisher equation
zbMATH Keywords: series solution
zbMATH Keywords: decomposition method
zbMATH Keywords: solitary-wave solution
zbMATH Keywords: numerical results
reviewed by: Gerald W. Hedstrom
describes a project that uses: ATFM
MaRDI profile type: Publication
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full work available at URL: s0096-3003(03)00565-4
OpenAlex ID: W1973385986
description: scientific article; zbMATH DE number 2081880